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1332220032 = 273211138087
BaseRepresentation
bin100111101101000…
…0001000010000000
310102211210210022200
41033122001002000
510212022020112
6340110033200
745004453263
oct11732010200
93384723280
101332220032
116240046a0
123121a8800
131830095a0
14c8d0acda
157be56cdc
hex4f681080

1332220032 has 192 divisors, whose sum is σ = 4504368960. Its totient is φ = 372602880.

The previous prime is 1332219971. The next prime is 1332220037. The reversal of 1332220032 is 2300222331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1332219987 and 1332220014.

It is not an unprimeable number, because it can be changed into a prime (1332220037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160693 + ... + 168779.

It is an arithmetic number, because the mean of its divisors is an integer number (23460255).

Almost surely, 21332220032 is an apocalyptic number.

1332220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252184480).

1332220032 is an abundant number, since it is smaller than the sum of its proper divisors (3172148928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1332220032 is a wasteful number, since it uses less digits than its factorization.

1332220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8131 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1332220032 is about 36499.5894771434. The cubic root of 1332220032 is about 1100.3359943300.

Adding to 1332220032 its reverse (2300222331), we get a palindrome (3632442363).

The spelling of 1332220032 in words is "one billion, three hundred thirty-two million, two hundred twenty thousand, thirty-two".